Journal of Physical Studies 22(4), Article 4801 [11 pages] (2018)
DOI: https://doi.org/10.30970/jps.22.4801

FAST Cl-TYPE INHIBITORY NEURON WITH DELAYED FEEDBACK HAS NON-MARKOV OUTPUT STATISTICS

A. K. Vidybida
Bogolyubov Institute for Theoretical Physics
14-B, Metrologichna St., Kyiv, UA-03680, Ukraine
e-mail: vidybida@bitp.kiev.ua

For a class of fast Cl-type inhibitory spiking neuron models with delayed feedback stimulated with a Poisson stochastic process of excitatory impulses, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order.

PACS number(s): 87.19.ll, 87.10.-e, 87.10.Ca, 87.10.Mn